Mathematical Models for Suspension Bridges

Nonlinear Structural Instability

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Mathematical Models for Suspension Bridges by Filippo Gazzola, Springer International Publishing
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Author: Filippo Gazzola ISBN: 9783319154343
Publisher: Springer International Publishing Publication: May 29, 2015
Imprint: Springer Language: English
Author: Filippo Gazzola
ISBN: 9783319154343
Publisher: Springer International Publishing
Publication: May 29, 2015
Imprint: Springer
Language: English

This work provides a detailed and up-to-the-minute survey of the various stability problems that can affect suspension bridges. In order to deduce some experimental data and rules on the behavior of suspension bridges, a number of historical events are first described, in the course of which several questions concerning their stability naturally arise. The book then surveys conventional mathematical models for suspension bridges and suggests new nonlinear alternatives, which can potentially supply answers to some stability questions. New explanations are also provided, based on the nonlinear structural behavior of bridges. All the models and responses presented in the book employ the theory of differential equations and dynamical systems in the broader sense, demonstrating that methods from nonlinear analysis can allow us to determine the thresholds of instability.

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This work provides a detailed and up-to-the-minute survey of the various stability problems that can affect suspension bridges. In order to deduce some experimental data and rules on the behavior of suspension bridges, a number of historical events are first described, in the course of which several questions concerning their stability naturally arise. The book then surveys conventional mathematical models for suspension bridges and suggests new nonlinear alternatives, which can potentially supply answers to some stability questions. New explanations are also provided, based on the nonlinear structural behavior of bridges. All the models and responses presented in the book employ the theory of differential equations and dynamical systems in the broader sense, demonstrating that methods from nonlinear analysis can allow us to determine the thresholds of instability.

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